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Chapter 3 Section 1 The Atom: From Philosophical Idea to Scientific Theory Objectives • Explain the law of conservation of mass, the law of definite proportions, and the law of multiple proportions. • Summarize the five essential points of Dalton’s atomic theory. • Explain the relationship between Dalton’s atomic theory and the law of conservation of mass, the law of definite proportions, and the law of multiple proportions. Chapter 3 Section 1 The Atom: From Philosophical Idea to Scientific Theory Foundations of Atomic Theory • The transformation of a substance or substances into one or more new substances is known as a chemical reaction. • Law of conservation of mass: mass is neither created nor destroyed during ordinary chemical reactions or physical changes Chapter 3 Section 1 The Atom: From Philosophical Idea to Scientific Theory Foundations of Atomic Theory, continued • Law of definite proportions: a chemical compound contains the same elements in exactly the same proportions by mass regardless of the size of the sample or source of the compound • Law of multiple proportions: if two or more different compounds are composed of the same two elements, then the ratio of the masses of the second element combined with a certain mass of the first element is always a ratio of small whole numbers Chapter 3 Section 1 The Atom: From Philosophical Idea to Scientific Theory Law of Conservation of Mass Chapter 3 Section 1 The Atom: From Philosophical Idea to Scientific Theory Law of Multiple Proportions Chapter 3 Section 1 The Atom: From Philosophical Idea to Scientific Theory Dalton’s Atomic Theory • All matter is composed of extremely small particles called atoms. • Atoms of a given element are identical in size, mass, and other properties; atoms of different elements differ in size, mass, and other properties. • Atoms cannot be subdivided, created, or destroyed. Chapter 3 Section 1 The Atom: From Philosophical Idea to Scientific Theory Dalton’s Atomic Theory, continued • Atoms of different elements combine in simple wholenumber ratios to form chemical compounds. • In chemical reactions, atoms are combined, separated, or rearranged. Chapter 3 Section 1 The Atom: From Philosophical Idea to Scientific Theory Modern Atomic Theory • Not all aspects of Dalton’s atomic theory have proven to be correct. We now know that: • Atoms are divisible into even smaller particles. • A given element can have atoms with different masses. • Some important concepts remain unchanged. • All matter is composed of atoms. • Atoms of any one element differ in properties from atoms of another element. Chapter 3 Section 2 The Structure of the Atom Lesson Starter • Even though the two shapes look different, the characteristics of the various parts that compose them are the same. • The same is true with the atom. • Though atoms of different elements display different properties, isolated subatomic particles have the same properties. Chapter 3 Section 2 The Structure of the Atom Objectives • Summarize the observed properties of cathode rays that led to the discovery of the electron. • Summarize the experiment carried out by Rutherford and his co-workers that led to the discovery of the nucleus. • List the properties of protons, neutrons, and electrons. • Define atom. Chapter 3 Section 2 The Structure of the Atom The Structure of the Atom • An atom is the smallest particle of an element that retains the chemical properties of that element. • The nucleus is a very small region located at the center of an atom. • The nucleus is made up of at least one positively charged particle called a proton and usually one or more neutral particles called neutrons. Chapter 3 Section 2 The Structure of the Atom The Structure of the Atom, continued • Surrounding the nucleus is a region occupied by negatively charged particles called electrons. • Protons, neutrons, and electrons are often referred to as subatomic particles. Particle Proton Neutron Electron Symbol Location Charge Mass Chapter 3 Section 2 The Structure of the Atom Properties of Subatomic Particles Chapter 3 Section 2 The Structure of the Atom Discovery of the Electron Cathode Rays and Electrons • Experiments in the late 1800s showed that cathode rays were composed of negatively charged particles. • These particles were named electrons. Chapter 3 Section 2 The Structure of the Atom Discovery of the Electron, continued Charge and Mass of the Electron • Joseph John Thomson’s cathode-ray tube experiments measured the charge-to-mass ratio of an electron. • Robert A. Millikan’s oil drop experiment measured the charge of an electron. • With this information, scientists were able to determine the mass of an electron. Chapter 3 Section 2 The Structure of the Atom Discovery of the Atomic Nucleus • More detail of the atom’s structure was provided in 1911 by Ernest Rutherford and his associates Hans Geiger and Ernest Marsden. • The results of their gold foil experiment led to the discovery of a very densely packed bundle of matter with a positive electric charge. • Rutherford called this positive bundle of matter the nucleus. Chapter 3 Section 2 The Structure of the Atom Gold Foil Experiment Chapter 3 Section 2 The Structure of the Atom Gold Foil Experiment on the Atomic Level Chapter 3 Section 2 The Structure of the Atom Composition of the Atomic Nucleus • Except for the nucleus of the simplest type of hydrogen atom, all atomic nuclei are made of protons and neutrons. • A proton has a positive charge equal in magnitude to the negative charge of an electron. • Atoms are electrically neutral because they contain equal numbers of protons and electrons. • A neutron is electrically neutral. Chapter 3 Section 2 The Structure of the Atom Composition of the Atomic Nucleus, continued • The nuclei of atoms of different elements differ in their number of protons and therefore in the amount of positive charge they possess. • Thus, the number of protons determines that atom’s identity. Chapter 3 Section 3 Counting Atoms Objectives • Explain what isotopes are. • Define atomic number and mass number, and describe how they apply to isotopes. • Given the identity of a nuclide, determine its number of protons, neutrons, and electrons. • Define mole, Avogadro’s number, and molar mass, and state how all three are related. • Solve problems involving mass in grams, amount in moles, and number of atoms of an element. Chapter 3 Section 3 Counting Atoms Atomic Number • Atoms of different elements have different numbers of protons. • Atoms of the same element all have the same number of protons. • The atomic number (Z) of an element is the number of protons of each atom of that element. Chapter 3 Section 3 Counting Atoms Isotopes • Isotopes are atoms of the same element that have different masses. • The isotopes of a particular element all have the same number of protons and electrons but different numbers of neutrons. • Most of the elements consist of mixtures of isotopes. Chapter 3 Section 3 Counting Atoms Mass Number • The mass number is the total number of protons and neutrons that make up the nucleus of an isotope. Chapter 3 Section 3 Counting Atoms Designating Isotopes • Hyphen notation: The mass number is written with a hyphen after the name of the element. • uranium-235 • Nuclear symbol: The superscript indicates the mass number and the subscript indicates the atomic number. 235 92 U •5. hydrogen - 1 hydrogen - 2 hydrogen - 3 helium - 3 helium - 4 Chapter 3 Section 3 Counting Atoms Designating Isotopes, continued • The number of neutrons is found by subtracting the atomic number from the mass number. mass number − atomic number = number of neutrons 235 (protons + neutrons) − 92 protons = 143 neutrons Chapter 3 Section 3 Counting Atoms Designating Isotopes, continued Sample Problem A How many protons, electrons, and neutrons are there in an atom of chlorine-37? Bromine-80? Drawing Atoms (Bohr models) The number of neutrons are protons are found in the nucleus. The number of rings are the period (row) number on the periodic table. The number of electrons are placed on the rings. Maximum number electrons for each ring: 1st = 2 2nd = 8 3rd = 18 (but the most you will draw is 8) 4th = 32 5th = 32 6th = 18 7th = 8 Practice: Drawing Bohr models 1. Oxygen 2. Chlorine 3. Hydrogen 4. Aluminum 5. Carbon You can also draw isotopes, but what would be different? 1. Oxygen - 18 2. Hydrogen - 2 3. Carbon - 14 Chapter 3 Section 3 Counting Atoms Relative Atomic Masses • The standard used by scientists to compare units of atomic mass is the carbon-12 atom, which has been arbitrarily assigned a mass of exactly 12 atomic mass units, or 12 amu. • One atomic mass unit, or 1 amu, is exactly 1/12 the mass of a carbon-12 atom. • The atomic mass of any atom is determined by comparing it with the mass of the carbon-12 atom. Chapter 3 Section 3 Counting Atoms Average Atomic Masses of Elements • Average atomic mass is the weighted average of the atomic masses of the naturally occurring isotopes of an element. Calculating Average Atomic Mass • The average atomic mass of an element depends on both the mass and the relative abundance of each of the element’s isotopes. Chapter 3 Section 3 Counting Atoms Average Atomic Masses of Elements, continued Calculating Average Atomic Mass, continued • Copper consists of 69.15% copper-63, which has an atomic mass of 62.929 601 amu, and 30.85% copper-65, which has an atomic mass of 64.927 794 amu. • The average atomic mass of copper can be calculated by multiplying the atomic mass of each isotope by its relative abundance (expressed in decimal form) and adding the results. Chapter 3 Section 3 Counting Atoms Average Atomic Masses of Elements, continued Calculating Average Atomic Mass, continued • (0.6915 × 62.929 601 amu) + (0.3085 × 64.927 794 amu) = 63.55 amu • The calculated average atomic mass of naturally occurring copper is 63.55 amu. Chapter 3 Section 3 Counting Atoms Relating Mass to Numbers of Atoms The Mole • The mole is the SI unit for amount of substance. • A mole (abbreviated mol) is the amount of a substance that contains as many particles as there are atoms in exactly 12 g of carbon-12. Avogadro’s Number • Avogadro’s number—6.02 × 1023—is the number of particles in exactly one mole of a pure substance. Chapter 3 Section 3 Counting Atoms Relating Mass to Numbers of Atoms, continued Molar Mass • The mass of one mole of a pure substance is called the molar mass of that substance. • Molar mass is usually written in units of g/mol. • The molar mass of an element is numerically equal to the atomic mass of the element in atomic mass units. Chapter 3 Section 3 Counting Atoms Relating Mass to Numbers of Atoms, continued Gram/Mole Conversions • Chemists use molar mass as a conversion factor in chemical calculations. • For example, the molar mass of helium is 4.00 g He/mol He. • To find how many grams of helium there are in two moles of helium, multiply by the molar mass. 4.00 g He 2.00 mol He = 8.00 g He 1 mol He Chapter 3 Section 3 Counting Atoms Relating Mass to Numbers of Atoms, continued Conversions with Avogadro’s Number • Avogadro’s number can be used to find the number of atoms of an element from the amount in moles or to find the amount of an element in moles from the number of atoms. • In these calculations, Avogadro’s number is expressed in units of atoms per mole. •Conversion Factors we will use: Chapter 3 Section 3 Counting Atoms Solving Mole Problems Chapter 3 Section 3 Counting Atoms Relating Mass to Numbers of Atoms, continued Sample Problem B What is the mass in grams of 3.50 mol of the element copper, Cu? Chapter 3 Section 3 Counting Atoms Relating Mass to Numbers of Atoms, continued Sample Problem C A chemist produced 11.9 g of aluminum, Al. How many moles of aluminum were produced? How many atoms of aluminum, Al, are in 2.75 mol of aluminum? Chapter 3 Section 3 Counting Atoms Relating Mass to Numbers of Atoms, continued Sample Problem D How many moles of silver, Ag, are in 3.01 1023 atoms of silver? Chapter 3 Section 3 Counting Atoms Sample Problem E What is the mass in grams of 1.20 108 atoms of copper, Cu? D. How many atoms of sulfur, S, are in 4.00 g of sulfur? Molar mass of sulfur: Section 3.3 Review Problems (pg. 85) 5. Determine the mass in grams of the following: a. 2.00 mol N b. 3.01 X 1023 atoms Cl 6. Determine the amount of moles of the following: a. 12.15 g Mg b. 1.50 X 1023 atoms F Chapter 3 Review Problems (pg. 89) 13. Determine the mass in grams of the following: a. 3.011 X 1023 atoms F d. 8.42 X 1018 atoms Br b. 1.50 X 1023 atoms Mg e. 25 atoms W c. 4.50 X 1012 atoms Cl f. 1 atom Au 14. Determine the number of atoms in each of the following: a. 5.40 g B g. 1.00 X 10 -10 g Au b. 0.250 mol S f. 1.50 mol Na c. 0.0384 mol K g. 6.755 mol Pb d. 0.02550 g Pt h. 7.02 g Si